166364928 has 180 divisors, whose sum is σ = 507508848. Its totient is φ = 54190080.

The previous prime is 166364923. The next prime is 166364971. The reversal of 166364928 is 829463661.

166364928 is a `hidden beast` number, since 1 + 6 + 636 + 4 + 9 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166364923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1472200 + ... + 1472312.

Almost surely, 2^166364928 is an apocalyptic number.

166364928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166364928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253754424).

166364928 is an abundant number, since it is smaller than the sum of its proper divisors (341143920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166364928 is an equidigital number, since it uses as much as digits as its factorization.

166364928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 166364928 is about 12898.2529049480. The cubic root of 166364928 is about 549.9889011534.

The spelling of 166364928 in words is "one hundred sixty-six million, three hundred sixty-four thousand, nine hundred twenty-eight".